$\Lambda$-buildings associated to quasi-split groups over $\Lambda$-valued fields

Auguste Hébert, Diego Izquierdo, Benoit Loisel

Let $\mathbf{G}$ be a quasi-split reductive group and $\mathbb{K}$ be a Henselian field equipped with a valuation $\omega :{\mathbb{K}}^{\times }\to \Lambda$, where $\Lambda$ is a non-zero tota…